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3 years ago

Write an expression showing 8 less than the sum of x and n. Is the answer (n+x)-8

Mathematics

2 answers:

Alik [6]3 years ago

7 0

It is x+n-8. I believe that if you put the parentheses it will mean you are multiplying x+n by -8.

spin [16.1K]3 years ago

3 0

The answer you have is correct, but the parenthesis are not necessary

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Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd

zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

b) How much money was in the account after 4 years?

c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(1)]

= 500 [ 1 + 0.04] = 520

⇒Amount = $520

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(4)]

= 500 [ 1 + 0.16] = 580

⇒Amount = $580

In 2nd year,

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(2)]

= 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount is same each year

3 0

3 years ago

A sweater is 65% wool by weight. If the sweater weighs 12.4 ounces how many ounces of wool is the sweater?

Mashutka [201]

Answer:

8.06 ounces

Step-by-step explanation:

Ounces of wool of the sweater = percent of wool in the sweater x weight of the sweater

65% x 12.4 ounces

0.65 x 12.4 = 8.06 ounces

6 0

3 years ago

Find the values of x and y. Pls helpI’m helpless at math

Svetradugi [14.3K]

Answer:

x = 1

$y=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

<u>Determining the value of x:</u>

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

$\cos \left(60^{\circ \:}\right)=\frac{1}{2x}$

$\frac{1}{2}=\frac{1}{2x}$ ∵ cos (60°) = 1/2

$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

<u>Determining the value of y:</u>

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

$y=\frac{\sqrt{3}}{2}$

Summary:

x = 1

$y=\frac{\sqrt{3}}{2}$

5 0

3 years ago

Write the equation of a circle given the center (-4, 4) and raduis r = 5.

Len [333]

Answer:

A) $(x+4)^2+(y-4)^2=25$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius. If $(h,k)\rightarrow(-4,4)$ and $r=5$ , then:

$(x-h)^2+(y-k)^2=r^2\\\\(x-(-4))^2+(y-4)^2=5^2\\\\(x+4)^2+(y-4)^2=25$

Therefore, the equation of the circle is $(x+4)^2+(y-4)^2=25$

6 0

2 years ago

Richard earns 2700 a month. He received a 3% raise. What is Richards new annual salary

elena-14-01-66 [18.8K]

$2700 \times 103\% = 2781 \: (monthly) \\ 2781 \times 12 = 33372 \: (annual)$
The answer is $33,372

Hope this helps.

- Max

7 0

3 years ago